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Finding the Fourth Proportional to 402,541.98, 603,777.69 and 136,296.42

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Solution

The fourth proportional to 402,541.98, 603,777.69 and 136,296.42 is: 204,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,541.98 : 603,777.69 = 136,296.42 : x
  2. Step 2: Convert to fraction form
    402,541.98/603,777.69 = 136,296.42/x
  3. Step 3: Cross multiply
    402,541.98x = 603,777.69 × 136,296.42
  4. Step 4: Simplify right side
    402,541.98x = 82,292,737,622.87
  5. Step 5: Solve for x
    x = 82,292,737,622.87/402,541.98
  6. Step 6: Final answer
    x = 204,432.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.